Fractional models of falling object with linear and quadratic frictional forces considering Caputo derivative

M Turkyilmazoglu, M Altanji - Chaos, Solitons & Fractals, 2023 - Elsevier
Distinct fractional models of falling object with linear and quadratic air resistive forces are
explored under Caputo fractional derivative. Analytical solutions to each model are extracted …

A new solution of the fractional neutron point kinetics equations using symmetry and the Heaviside's expansion formula

CA Cruz-López, G Espinosa-Paredes - Progress in Nuclear Energy, 2024 - Elsevier
A new analytical solution of the Fractional Neutron Point Kinetics Equations is developed in
the present work, considering multi-groups of precursors of delayed neutrons as well as a …

Analytical solution of the fractional neutron point kinetic equations using the Mittag-Leffler function

CA Cruz-López, G Espinosa-Paredes - Computer Physics Communications, 2024 - Elsevier
A new analytical solution of the fractional point kinetic equations is developed in the present
work, which considers one group of delayed neutrons as well as a constant reactivity. One of …

A new compartmental fractional neutron point kinetic equations with different fractional orders

G Espinosa-Paredes, CA Cruz-López - Nuclear Engineering and Design, 2024 - Elsevier
Fractional models of the Neutron Point Kinetic Equations have been developed to overcome
certain limitations related to the classical approaches, considering more general physical …

A computational-experimental model of reactor kinetic for investigating the linearity response of in-core neutron detectors of a low power research reactor

A Asgari, MHC Dastjerdi, J Mokhtari - Nuclear Engineering and Design, 2024 - Elsevier
In this study, the linear response of fission chamber (FC) neutron detectors in Isfahan
miniature neutron source reactor (MNSR) is investigated through experiments and …

[HTML][HTML] Stability analysis in BWRs with double subdiffusion effects: Reduced order fractional model (DS-F-ROM)

G Espinosa-Paredes, RI Cázares-Ramírez… - Nuclear Engineering …, 2024 - Elsevier
The aim of this work is to explore the effect of the double subdiffusion on the stability in
BWRs. A BWR novel reduced order model with double subdiffusion effects: reduced order …

[PDF][PDF] Neutron Point Kinetics Model with a Distributed-Order Fractional Derivative

FA Godinez, G Fernandez-Anaya, S Quezada-García… - Fractals, 2024 - researchgate.net
In this paper, the solutions of an extended form of the Fractional-order Neutron Point Kinetics
(FNPK) equation in terms of Caputo-time derivatives of the same order are investigated …

Stability/instability Maps of the Neutron Point Kinetic Model with Conformable and Caputo Derivatives

FA Godinez, G Fernandez-Anaya, S Quezada-Garcia… - Fractals, 2023 - World Scientific
Behavior analysis of the neutron point kinetic model with Caputo and conformable
derivatives (Khalil and Almeida operators) was performed. Hence, boundary thresholds that …

[PDF][PDF] Solution to fractional neutron point kinetic model considering six energy groups using conformable derivatives

G Fernández-Anaya, LA Quezada-Téllez… - 2023 - allmultidisciplinaryjournal.com
In this work the Conformable model, obtained from Fractional Neutron Point Kineticmodel, is
extended to consider six groups of delayed neutron precursors. The methodology to …